Follow
Raphael Ponge
Title
Cited by
Cited by
Year
Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
R Ponge
American Mathematical Soc., 2008
942008
A new short proof of the local index formula and some of its applications
R Ponge
Communications in mathematical physics 241, 215-234, 2003
502003
Spectral asymmetry, zeta functions, and the noncommutative residue
R Ponge
International Journal of Mathematics 17 (09), 1065-1090, 2006
472006
Noncommutative residue for Heisenberg manifolds. Applications in CR and contact geometry
R Ponge
Journal of Functional Analysis 252 (2), 399-463, 2007
452007
Noncommutative geometry and lower dimensional volumes in Riemannian geometry
R Ponge
Letters in Mathematical Physics 83, 19-32, 2008
442008
The tangent grupoid of a Heisenberg manifold
R Ponge
Pacific journal of mathematics 227 (1), 151-175, 2006
382006
Pseudodifferential calculus on noncommutative tori, II. Main properties
H Ha, G Lee, R Ponge
International Journal of Mathematics 30 (08), 1950034, 2019
312019
Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals
H Ha, G Lee, R Ponge
International Journal of Mathematics 30 (08), 1950033, 2019
282019
Tangent maps and tangent groupoid for Carnot manifolds
W Choi, R Ponge
Differential Geometry and its Applications 62, 136-183, 2019
252019
Traces on pseudodifferential operators and sums of commutators
R Ponge
Journal d'Analyse Mathématique 110 (1), 1-30, 2010
202010
Noncommutative geometry and conformal geometry. I. Local index formula and conformal invariants
R Ponge, H Wang
Journal of Noncommutative Geometry 12 (4), 1573-1639, 2018
192018
Conformal invariants from nodal sets. I. Negative eigenvalues and curvature prescription
Y Canzani, R Gover, D Jakobson, R Ponge
International Mathematics Research Notices 2014 (9), 2356-2400, 2014
192014
Noncommutative geometry and conformal geometry, II. Connes–Chern character and the local equivariant index theorem
R Ponge, H Wang
Journal of Noncommutative Geometry 10 (1), 307-378, 2016
182016
Calcul hypoelliptique sur les variétés de Heisenberg, résidu non commutatif et géométrie pseudo-hermitienne
RS Ponge
Paris 11, 2000
182000
Calcul fonctionnel sous-elliptique et résidu non commutatif sur les variétés de Heisenberg
R Ponge
Comptes Rendus de l'Academie des Sciences Series I Mathematics 332 (7), 611-614, 2001
162001
Noncommutative residue invariants for CR and contact manifolds
R Ponge
Walter de Gruyter 2008 (614), 117-151, 2008
152008
Connes' integration and Weyl's laws
R Ponge
Journal of Noncommutative Geometry 17 (2), 719-767, 2023
142023
Laplace–Beltrami operators on noncommutative tori
H Ha, R Ponge
Journal of Geometry and Physics 150, 103594, 2020
142020
Privileged coordinates and nilpotent approximation of Carnot manifolds, I. General results
W Choi, R Ponge
Journal of Dynamical and Control Systems 25 (1), 109-157, 2019
122019
Cyclic homology and group actions
R Ponge
Journal of Geometry and Physics 123, 30-52, 2018
92018
The system can't perform the operation now. Try again later.
Articles 1–20